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Finding the Fourth Proportional to 4,458.68, 6,689.19 and 1,537.20

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Solution

The fourth proportional to 4,458.68, 6,689.19 and 1,537.20 is: 2,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.68 : 6,689.19 = 1,537.20 : x
  2. Step 2: Convert to fraction form
    4,458.68/6,689.19 = 1,537.20/x
  3. Step 3: Cross multiply
    4,458.68x = 6,689.19 × 1,537.20
  4. Step 4: Simplify right side
    4,458.68x = 10,282,622.87
  5. Step 5: Solve for x
    x = 10,282,622.87/4,458.68
  6. Step 6: Final answer
    x = 2,306.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.